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Finding the Third Proportional to 77,882,069 and 170,231,143

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Solution

The third proportional to 77,882,069 and 170,231,143 is: 372,083,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,069 : 170,231,143 = 170,231,143 : x
  2. Step 2: Convert to fraction form
    77,882,069/170,231,143 = 170,231,143/x
  3. Step 3: Cross multiply
    77,882,069x = 170,231,143 × 170,231,143
  4. Step 4: Simplify right side
    77,882,069x = 28,978,642,047,086,448
  5. Step 5: Solve for x
    x = 28,978,642,047,086,448/77,882,069
  6. Step 6: Final answer
    x = 372,083,618.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.